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224022040 = 23511712101
BaseRepresentation
bin11010101101001…
…00111000011000
3120121112111110121
431112210320120
5424322201130
634121323024
75360104324
oct1526447030
9517474417
10224022040
11105500090
1263036474
1337548328
1421a76984
1514a01d7a
hexd5a4e18

224022040 has 96 divisors (see below), whose sum is σ = 563248080. Its totient is φ = 79520000.

The previous prime is 224022023. The next prime is 224022041. The reversal of 224022040 is 40220422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224022041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2217990 + ... + 2218090.

Almost surely, 2224022040 is an apocalyptic number.

224022040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281624040).

224022040 is an abundant number, since it is smaller than the sum of its proper divisors (339226040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224022040 is a wasteful number, since it uses less digits than its factorization.

224022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 224022040 is about 14967.3658337063. The cubic root of 224022040 is about 607.3377122995.

Adding to 224022040 its reverse (40220422), we get a palindrome (264242462).

It can be divided in two parts, 22402 and 2040, that added together give a palindrome (24442).

The spelling of 224022040 in words is "two hundred twenty-four million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 101 110 142 202 220 284 355 404 440 505 568 710 781 808 1010 1111 1420 1562 2020 2222 2840 3124 3905 4040 4444 5041 5555 6248 7171 7810 8888 10082 11110 14342 15620 20164 22220 25205 28684 31240 35855 40328 44440 50410 55451 57368 71710 78881 100820 110902 143420 157762 201640 221804 277255 286840 315524 394405 443608 509141 554510 631048 788810 1018282 1109020 1577620 2036564 2218040 2545705 3155240 4073128 5091410 5600551 10182820 11201102 20365640 22402204 28002755 44804408 56005510 112011020 224022040